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Finding the Fourth Proportional to 39,775.86, 54,904.84 and 26,351.46

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Solution

The fourth proportional to 39,775.86, 54,904.84 and 26,351.46 is: 36,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,775.86 : 54,904.84 = 26,351.46 : x
  2. Step 2: Convert to fraction form
    39,775.86/54,904.84 = 26,351.46/x
  3. Step 3: Cross multiply
    39,775.86x = 54,904.84 × 26,351.46
  4. Step 4: Simplify right side
    39,775.86x = 1,446,822,629.19
  5. Step 5: Solve for x
    x = 1,446,822,629.19/39,775.86
  6. Step 6: Final answer
    x = 36,374.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.